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arXiv · 1507.00098

A Generalization of Euler's Criterion to Composite Moduli

József Vass
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Abstract

A necessary and sufficient condition is provided for the solvability of a binomial congruence with a composite modulus, circumventing its prime factorization. This is a generalization of Euler's Criterion through that of Euler's Theorem, and the concepts of order and primitive roots. Idempotent numbers play a central role in this effort.

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József Vass. 2015-07-01. A Generalization of Euler's Criterion to Composite Moduli. https://arxiv.org/abs/1507.00098

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